FractionsTo 12
Name: Date:
156=12
234=12
312=10
413=12
516=12
623=6
712=8
813=9
Equivalent fractions worksheets
Two fractions can name the same amount even when the numbers look nothing alike — one half is the same slice as four eighths. These free printable worksheets show a fraction beside its equal partner with the top number blank, and ask for the missing numerator.
Kid stuck on one? You don’t just get the sheet.
Equivalent fractions
The answer key prints on a separate page.
What's on this sheet
Each pair is built from a real relationship, not two fractions thrown together: the second denominator is always a multiple of the first, so a whole-number multiplier exists and the missing numerator is never a fraction of its own. One half becomes two fourths, three sixths, four eighths — the same amount cut into more pieces. Every fraction is drawn as a real stacked fraction, a numerator sitting over a denominator, never a typed 1/2.
Why this sheet works
The move that solves every question is the same: whatever you multiply the bottom by, multiply the top by too. If the denominator grew from two to eight it was multiplied by four, so the numerator does the same, and one times four is four. Multiplying top and bottom by one number changes how the fraction looks without changing how much it is worth.
How this one works
One question from this sheet, worked through a step at a time.
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6×2=12
5×2=10
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- 5/6 and the answer have to be the SAME amount — so nothing may be added to either half of it. The one move that leaves a fraction's value alone is cutting every piece into the same number of smaller pieces.
- Sixths into twelfths: 12 ÷ 6 = 2, so each piece is being cut into 2. There are 2 times as many pieces, and each is 2 times smaller.
- The top is a COUNT of those pieces, so it is cut the same way: 5 × 2 = 10. 5/6 = 10/12 — the same amount of cake, cut differently.